scientific article; zbMATH DE number 2064072

zbMath1042.45006MaRDI QIDQ4461649

Sotiris K. Ntouyas, Mouffak Benchohra

Publication date: 18 May 2004

Full work available at URL: https://eudml.org/doc/23729

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zbMATH Keywords

Banach spacesfixed pointinitial value problemsmild solutionsemilinear integrodifferential equationssemiinfinite interval

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (6)

Well-posedness for an abstract semilinear integro-differential fractional problem ⋮ Existence results for an evolution problem with fractional nonlocal conditions ⋮ EXTENSION AND DECOMPOSITION METHOD FOR DIFFERENTIAL AND INTEGRO-DIFFERENTIAL EQUATIONS ⋮ Mild solutions for a problem involving fractional derivatives in the nonlinearity and in the non-local conditions ⋮ Semilinear Volterra integrodifferential problems with fractional derivatives in the nonlinearities ⋮ The existence of mild and classical solutions for a second-order abstract fractional problem

Cites Work

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• Existence and monotone method for periodic solutions of first-order differential equations
• Semigroups of linear operators and applications to partial differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Differential equation s in abstract spaces
• Cosine families and abstract nonlinear second order differential equations
• Mild solutions of evolution equations and measures of noncompactness

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